The Reduced Hamiltonian of General Relativity and the σ-Constant of Conformal Geometry

Abstract

1. Hreduced($τ$,$γ$,pT T ) is a monotonically decreasing function of t unless pT T = 0 and $γ$ = ˜$γ$ is hyperbolic, at which point Hreduced($τ$, ˜$γ$, 0) is constant in time. 2. For $τ$ ∈ R− fixed, Hreduced($τ$,$γ$,pT T ) has a unique (up to isometry) critical point at (˜$γ$, 0) which is a strict ...